Geometry problem solver - The triangles Geometry problem solver triangle circumscribed to the circumference triangle inscribed in the circle triangle rectangle inscribed in the semicircle They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples. Calculate the perimeter and area of an equilateral triangle knowing that the side measures 10 centimeters. Track 2 Calculate the perimeter of an equilateral triangle knowing that the height is 10 cm. Track 3 Calculate the perimeter and area of an equilateral triangle that has a height that measures 25.98 cm. Track 4 The perimeter of an equilateral triangle is 99 cm. Calculate the side of the triangle. Track 5 The perimeter of an equilateral triangle measures 45 cm. How big is your area ? Track 6 Than you have to increase the size of the side of an equilateral triangle, which is 30 cm, so that its perimeter is 150 cm ? Track 7 Than you have to decrease the perimeter of an equilateral triangle, which measures 60 cm, so that its side is 15 cm long.

isosceles triangle Track 8 An isosceles triangle has a base of 5 cm along the sloping side is 0.3 dm. Calculate the perimeter and the area of the triangle. Track 9 An isosceles triangle has the oblique side length of 180 cm and height 144 cm long. Calculate the perimeter and area. Track 10 An isosceles triangle has a base which measures 56 cm and a height of 96 cm. Calculate the size of the perimeter of the triangle and the area. Track 11 Calculate the perimeter of an isosceles triangle knowing that the base measuring 5 cm and that the oblique side is 4/5 of the base. Track 12 An isosceles triangle has a base of 60 cm and a height 2/3 of the base. Calculate the size of the oblique side. Track 13 The side of an isosceles triangle measures 50 cm and the base is equal to its 6/5. Calculate the perimeter and area of the triangle.

Track 14 The perimeter of an isosceles triangle is 52 cm and the base is 3/5 of the oblique side. Calculate the measures of the base and side of the triangle. Track 15 The difference between the oblique side and base measures 20 cm, and the oblique side is the 5/4 of the base; calculate the perimeter and the area of the isosceles triangle. Track 16 In an isosceles triangle, the sum of the oblique side and the base measures 50 cm and their difference measure 16 cm. Calcolane the measure of the sides and the perimeter. Track 17 In an isosceles triangle, the sum of the base and of an oblique side is 41 cm and the base exceeds 5 cm of the oblique side. Calculate the perimeter. Track 18 An isosceles triangle has a perimeter of 35 cm and the oblique side is three times the base. Calculate the size of the base and the oblique side.

Track 19 Calculates the measure of the circumference and the area of an isosceles triangle, knowing that the base is equal to 2/5 of the oblique side and their sum is 49 cm. Track 20 The angle at the vertex of an isosceles triangle is 120 ï¿½ wide. Calculate the perimeter and area of a triangle, knowing that the height measures 20 cm. Track 21 Two isosceles triangles ABC and PQR have the same perimeter measuring 35 cm and each of the oblique sides of ABC is three times the base. How big is each of the congruent sides of the RFP, knowing that the base exceeds 4 cm to ABC ? Track 22 The perimeter of an isosceles triangle is 17 dm and the base exceeds the oblique side of 20 cm. Calculate the area of the triangle. Track 23 The perimeter of an isosceles triangle is 17 dm and the base exceeds the oblique side of 20 cm. Knowing that the height measurement 3.57 dm, calculates the area of the triangle.

Track 24 In an isosceles triangle the perimeter is 120 cm and the height of the oblique side on the base measure 50 cm and 35.70 cm, respectively. Calculate the area of the triangle and the height measurement on the oblique side. Track 25 In an isosceles triangle with a base angle is the fourth part of the outer adjacent. Calculate the amplitudes of the three interior angles of the triangle. Track 26 An isosceles triangle has the area of 432 cm ï¿½ and the base of 36 cm. Calculate the perimeter. Track 27 The perimeter of an isosceles triangle is equal to 64 cm, the base and the height measure, respectively, 14 cm and 24 cm. Calculate the height measurement on the oblique side. Track 28 The height of an isosceles triangle is the 6/5 of the base and their sum is 44 cm. Calculate the perimeter and area of a triangle. Track 29 The perimeter of an isosceles triangle is 96 cm and the base measures 36 cm.

Calculate the area of the triangle. Track 30 An isosceles triangle has a perimeter of 72 cm long and each of the oblique sides measuring 26 cm. Compute the measure of the base and the area of the triangle. Track 31 Calculates the extent of the sides and the area of an isosceles triangle, knowing that the perimeter is 72 cm long and that each of the equal sides exceeds 6 cm base. Track 32 An isosceles triangle has a base 36 cm long and each of the oblique sides that measure 30 cm. Compute the measure of the base of an isosceles triangle similar to the above that has congruent sides 15 cm long. Track 33 An isosceles triangle has the area of 432 cm ï¿½ and the height of 24 cm. Calculate the perimeter. Track 34 In an isosceles triangle, whose area is 432 cm ï¿½, the base is the 3/2 of the height relative to it. Calculate the perimeter of the triangle.

Track 35 In an isosceles triangle, the sum of the oblique side and the base measures 50 cm and their difference measure 16 cm. Calcolane the measure of the sides and the perimeter. Track 36 Two isosceles triangles have the same perimeter of 96 cm. The base of the first triangle is 6/5 of each of the oblique sides. The base of the second triangle is equal to 9/11 of the base of the first. Calculate the size of each of the oblique sides and the area of triangles. Right triangle Track 37 In a right triangle a cathetus is 24 cm long and the other cathetus is 7 cm long. Calculates the length of the hypotenuse. Track 38 A right triangle has a cathetus of 4.6 dm, and the other cathetus of 58 cm. Determines its area and perimeter. Track 39 Construct a triangle with sides respectively 3 cm long, 5 cm and 4 cm. What is the triangle ? Track 40 A right triangle has a cathetus along the hypotenuse of 1.5 m 3 m long.

Calculates the length of the other cathetus and the relative height of the hypotenuse. Track 41 In a right-angled triangle the hypotenuse is 25 cm long, a cathetus is 7 cm long. Calculates the length of the other cathetus Track 42 In a right-angled triangle the hypotenuse measuring 50 cm and a cathetus measures 30 cm. Calculates the area and perimeter of the triangle. Track 43 A right triangle has the area of 300 cm ï¿½, the length of a cathetus is equal to 2/3 of the other cathetus. Calculate the length of the two short sides. Track 44 A right triangle has the area of 300 cm ï¿½, the length of a cathetus is equal to 2/3 of the other cathetus. Calculate the perimeter. Track 45 The difference between a cathetus and hypotenuse of a right triangle is 2 m, their ratio is 5/3. Calculate the perimeter and area of a triangle.

Track 46 The sum of the hypotenuse and a cathetus of a right triangle is 8 m; their ratio is 5/3. Calculate the perimeter and area of a triangle. Track 47 In a right triangle the hypotenuse is 180 cm and a cathetus is its 4/5. Calculate the perimeter and area of the triangle. Track 48 A vegetable has the shape of a right triangle whose hypotenuse is long 500 me a cathetus is 3/5 of the hypotenuse. You want to fence the garden with barbed wire. How many meters of barbed wire are needed ? Track 49 A right triangle has a long cathetus 16.4 cm and the area of 151.7 cm ï¿½. Calculates the length of the other cathetus. Track 50 The area of a triangle is 600 cm ï¿½. Find the perimeter and the height hypotenuse knowing that the larger cathetus is 40 cm long. Track 51 The area of an isosceles triangle is 200 dm ï¿½.

Calculate the extent of the two catheti and the perimeter. Track 52 In a right-angled triangle the hypotenuse is 50 cm and the projection of a cathetus on it measures 18 cm. Calculates the measure of the other cathetus and the area of the triangle. Track 53 In a right triangle a cathetus is the 5/3 of its projection on the hypotenuse and the difference of the two measurements is 72 cm. Determines the relative height of the hypotenuse and the perimeter of the triangle. Track 54 The legs of a right triangle are 3 cm long and 4 cm, find the hypotenuse and the height relative to it Track 55 The hypotenuse of a right triangle is 5 cm long and a cathetus 4 cm; located the other cathetus, the relative height of the hypotenuse and the segments in which it divides the hypotenuse. Track 56 The area of a triangle is 6 cm ï¿½ and a cathetus is 4 cm long. Find the perimeter and area of the two triangles that are obtained by conducting the median relative to the cathetus greater.

Track 57 Calculate the perimeter and area of an isosceles triangle that has a 20 cm long cathetus. Track 58 Calculate the perimeter and area of a right triangle knowing that measures 2.4 inches and the height is 3/4 of the projection of larger cathetus on ' hypotenuse. Track 59 A triangle has an area of 600 square centimeters and the height hypotenuse 24 cm long. Knowing that this height divides the hypotenuse into two parts one of the 9/16 of the other, calculate the perimeter of the triangle, the perimeter and the area of the two triangles in which the triangle is divided by the height hypotenuse. Track 60 A cathetus in a right triangle is 3/4 of the other and their difference measures 10 cm. Knowing that the hypotenuse exceeds the cathetus greater than 10 cm, calculate the area and perimeter of the triangle. Track 61 In a right-angled triangle the hypotenuse and the catheti respectively measuring 30 cm, 40 cm and 50 cm. Calculate the measure of hypotenuse and the perimeter.

Track 62 Calculate the perimeter and the area of a right triangle knowing that the hypotenuse is 10 cm long and that an acute angle is 30 ï¿½ wide. Track 63 In a right-angled triangle the hypotenuse measuring 50 cm and a cathetus is the 3/4 of the other. Knowing that the perimeter is 120 cm, calculates the extent of the short sides and the area of the triangle. Track 64 A right triangle has a hypotenuse 50 cm long and perimeter of 92 cm. Calculates the size of the short sides that are one of the 9/12 of the other. Track 65 In a right-angled triangle the hypotenuse and the sum of a cathetus size 32 cm 18 cm and their difference. Calculate the perimeter and area of the triangle. Track 66 In a right triangle the sum of the two short sides measuring 31 cm 17 cm and their difference. Calculate the perimeter and area of the triangle.

Track 67 Calculate the perimeter and area of a right triangle with acute angles of 45 degrees, knowing that the hypotenuse measuring 141.42 cm. Track 68 In right triangle ABC, AM is the median on the hypotenuse BC. Knowing that AM + AB = 31.18 cm, AB -AM = 8.82 cm and AB = 2AC, calculates the perimeter of the triangle Track 69 Calculate the measure of the hypotenuse of a right triangle knowing that the cathetus is 40 cm and the 4/3 of the other. Calculate the perimeter and area. Track 70 In an isosceles triangle the short sides measure 10 cm. Determines the length of the hypotenuse, the perimeter and the area. Track 71 In a right-angled triangle the hypotenuse is 25 cm long, a cathetus is 3/4 of the other. Calculate the perimeter and area of the triangle. Track 72 A triangle has a perimeter of 120 cm and two sides of 30 cm and 40 cm. Calculates the area.

Track 73 A right triangle has a cathetus of 10 cm and the hypotenuse 26 cm. Calculate the projection of the cathetus on the hypotenuse. Track 74 Knowing that the projection of the cathetus less of a right triangle is 10.8 cm, and greater than that of the cathetus is 19.2 cm, calculate the area and perimeter of the triangle. Track 75 Calculate the perimeter and area of a right triangle knowing that the relative height of the hypotenuse measuring 2.4 cm and that the projection of the cathetus increased the hypotenuse is 3.2 cm. Track 76 In a right triangle, the area of which is 6 cm ï¿½, the hypotenuse is 5 cm. Calculate the perimeter of the triangle. Track 77 In an isosceles triangle and the perimeter is 34.14 cm. If the hypotenuse measuring 14,14 cm, measured as a cathetus ?

Track 78 Calculate the perimeter and the area of a right triangle knowing that a cathetus length is 5 cm and that an acute angle is 60 ï¿½ wide. Track 79 Calculate the perimeter and the area of a right triangle knowing that a cathetus length is 5 cm and that an acute angle is 30 ï¿½ wide. Track 80 Calculate the perimeter and the area of a right triangle knowing that the larger cathetus is 8.66 cm long, and that an acute angle is 30 ï¿½ wide. Track 81 Calculate the perimeter and the area of a right triangle knowing that the larger cathetus is 8.66 cm long, and that an acute angle is 60 ï¿½ wide. Track 82 Calculates the minor cathetus of a right triangle knowing that the larger cathetus is 8.66 cm long, and that an acute angle is 60 ï¿½ wide. Track 83 Calculates the hypotenuse of a right triangle knowing that the larger cathetus is 8.66 cm long, and that an acute angle is 60 ï¿½ wide.

Track 84 Calculates the hypotenuse of a right triangle knowing that the minor cathetus length is 5 cm and that an acute angle is 60 ï¿½ wide. Track 85 Calculate the perimeter of a right triangle knowing that the minor cathetus length is 5 cm and that an acute angle is 60 ï¿½ wide. Track 86 Calculate the perimeter and area of a right triangle with a 18 cm long cathetus that is the 20/12 of its projection on the hypotenuse. Track 87 A triangle is the double of a rectangle. Calculate the area of the triangle, knowing that the difference in the size of the rectangle is 20 cm and the base is 3/5 of the height. Track 88 In a right triangle the hypotenuse is 30 cm and height 14.4 cm hypotenuse. Knowing that the projection of the cathetus is less than 10.8 cm and greater than that of the cathetus is 19.2 cm, calculate the area and perimeter of the triangle.

Track 89 Calculates the relative height of the hypotenuse of a right triangle that has the area of 6 cm ï¿½ and the hypotenuse of 5 cm. Knowing that the projection of the cathetus lesser extent on the hypotenuse 1.8 cm, calculate the perimeter of the given triangle. Track 90 Calculates the area and perimeter of a right triangle knowing that the hypotenuse is 30 cm long and 5 /3 of the smaller cathetus. Track 91 Of a right triangle you know that the larger cathetus, 24 cm long, is 4/5 of the hypotenuse. Calculate the measure of the circumference and the area of the triangle. Track 92 Of a right triangle you know that the cathetus is greater along the hypotenuse is 24 cm and its five quarters. Calculate the measure of the circumference and the area of the triangle. Track 93 Of a right triangle you know that the cathetus is larger 24 cm long and the other cathetus is its 3/4. Calculate the measure of the circumference and the area of the triangle.

Track 94 A cathetus in a right triangle the hypotenuse is 24 cm and 16 cm exceeds the other cathetus. Calculate the perimeter and area. Track 95 In a right triangle the hypotenuse is 50 cm and height relating to it is 24 cm. Calculate the perimeter knowing that the two short sides are one of the 3/4 of the other. Track 96 The perimeter of a right triangle is 60 cm, knowing that the cathetus is less than five twelfths of the greater and 5/13 of the hypotenuse, calculate the area of the triangle. Track 97 The sum of the legs of a right triangle is 140 me one of them is 3/4 of the other. Calculate the perimeter, area, and height measurement on the hypotenuse of the triangle. Draw a triangle with vertices ABC having sides of 300 cm; 200 cm; 150 cm. Track 99 Scalene triangle has a side of 50 cm, a second side is 40 cm long, and the third side is 80 cm.

Calculate the perimeter and area Track 100 The base of a triangle is 20 cm long. The height of the triangle is 15 cm long. Calculate the area of triangle Track 101 The base of a triangle is 20 cm long, and the area is 300 cm ï¿½. Calculate the height of the triangle. Track 102 In a triangle, an internal angle is 30 ï¿½ and the angle exceeds 40 ï¿½. Find the amplitude of each outer corner. Track 103 A scalene triangle has a perimeter that is 50 m, one side measuring 15 m and the other side measuring 12 m. Calculates the length of the third side. Track 104 The height of a triangle is 15 cm long, and the area is 300 cm ï¿½. Calculates the base of the triangle. Track 105 In a triangle the base is 2/3 of the height, the difference between the base and height is 120 cm. Calculate the area of the triangle.

Track 106 A triangle has a base of 5 cm, the height exceeds the basis of 0.2 dm. Calculate the area of the triangle. Track 107 The sum of two sides of a triangle measuring 128 cm and one of them is 3/5 of the other. Knowing that the third side measures 40 cm, calculate the measure of each side of the triangle and its perimeter. Track 108 the perimeter of a triangle is 110 cm, one side measuring 40 cm. Calculate the size of the two sides knowing which one is the 2/5 of the other. Track 109 In a triangle, the sum of the base and the height is 40 cm. Calculate the area knowing that the base is 5/3 height. Track 110 The difference between the base and the height of a triangle is 81 cm. Knowing that the height is 2/5 of the base determines the area of the triangle. Track 111 The sum of the base and the height of a triangle is 120 cm and their difference is 20 cm. Calculate the area of the triangle.

Track 112 In triangle ABC, the side AB measures 20 cm, the side BC AB exceeds 5 cm and the side AC BC exceeds 3 cm. Calculate the perimeter of the triangle. Track 113 Calculate the area of a triangle knowing that the base measures 50 m and is 5/3 height Track 114 A scalene triangle has a perimeter of 65 cm, a long side of 20 cm and the other two one the double of the other. Calculates the extent of the other two sides and the area of the triangle. Track 115 In a triangle one side is equal to the 4 /5 of the sum of the other two sides and the latter are one of the 3/2 of the other. Knowing that the perimeter measure 90 cm calculate the measure of each side. Track 116 A triangle has a perimeter of 260 cm, the difference between BC and AB is 5 cm, the difference between AC and BC is 10 cm. Calculate the area of the triangle.

Track 117 In a triangle one side measuring 14 cm, and the second side exceeds 8 cm three times the first, knowing that the perimeter is 112 cm calculates the area. Track 118 In a triangle one side is 10 cm, a second side exceeds the first 14 cm, and the perimeter is 60 cm. Calculate the measure of the third side. Track 119 The perimeter of a triangle is 250 cm long, the first side is 1/3 of the second side. The third side is 3/4 of the second side. Calculate the three sides of the triangle. Track 120 Two sides of a triangle ABC exceed the third, respectively, 10 cm and 20 cm. Calculates the length of the three sides and the area knowing that the perimeter is 120 cm. Track 121 Calculates the length of the sides and the area of a triangle ABC has a perimeter of 60 cm, knowing that the AC side exceeds 14 cm of side AB and side BC exceeds the AC side of 2 cm.

Track 122 The perimeter of a triangle is 120 cm. Knowing that the second side exceeds the first of 10 cm and the third passes the first 20 cm, calculates the measurements of the three sides of the triangle. Track 123 A scalene triangle has two angles of respectively 45 ï¿½ and 60 ï¿½. Calculate the perimeter and the area knowing that the height is 20 cm. Triangles inscribed and circumscribed Track 124 The isosceles triangle ABC is inscribed in the circle with center O. Given that the length of the circumference is 275.69 cm and that the measure of the segment OH is 36.10 cm, calculate the area and perimeter of the triangle. Track 125 Calculate the area of a triangle knowing that the base is 20 cm and the height is half of the base. Track 126 The diameter of a circumference is congruent to 3/5 of the side of an equilateral triangle having the area of 100 cm ï¿½. Calculates the length of the circumference.

Track 127 A scalene triangle has a side of 70 cm, a second side is 60 cm long, and the third side is 80 cm. Calculate the area of the circle inscribed in the triangle. Track 128 Calculate the length of the circumscribed circle in a triangle, knowing that a cathetus and its projection on the hypotenuse measure dm and 1.8 dm 3, respectively. Track 129 An isosceles triangle inscribed in a circle of radius 43.90 cm, has the relative height to the base of 80 cm. Calculate the perimeter and the area of the triangle. Track 130 In a circle whose diameter is 100 cm, the isosceles triangle ABC inscribed does not contain the center. The height of the triangle relative to the side unequal size 36 cm. Calculate the length of the perimeter of the triangle and its area. Track 131 A right triangle has legs of 18 cm and 24 cm, calculate the length of the radius of the circumscribed circle.

Track 132 An isosceles triangle has a base of 36 cm and a height of 24 cm. Calculate the perimeter and the length of the radius of the circumcircle of the triangle. Track 133 An isosceles triangle has a base of 36 cm and a height of 24 cm. Calculate the perimeter and the length of the radius of the circle inscribed in the triangle. Track 134 An isosceles triangle has the base AB of 36 cm and a height of 24 cm. Calculate : the central angle subtended by the chord AB of the circumcircle of the triangle; the area of the circular sector; the length of the arc subtended by the chord AB; the distance of the rope from the center of the circle. Track 135 A scalene triangle has a side of 70 cm, a second side is 60 cm long, and the third side is 80 cm.

Calculate : the central angle subtended by the chord AB of the circumcircle of the triangle; the area of the circular sector; the length of the arc subtended by the chord AB; the distance of the rope from the center of the circle. Track 136 The triangle ABC inscribed in a circle, it has the side AB is congruent to the side of the square inscribed the side BC is congruent to the side of the equilateral triangle inscribed in the same circle. Calculate the magnitude of the angles of the triangle. triangles and polygons Track 137 A circle with center O has a radius of 10 cm. Draw from the point P outside the circle tangents PA and PB and joining the point O with tangent points A and B, you get the quadrilateral APBO. Knowing that the perimeter of the quadrilateral is 100 cm, calculate the measures of its sides. Track 138 A circle with center O has a radius of 10 cm. Draw from the point P outside the circle tangent PA and joining the point O with the tangent point A and point P, we get a triangle APO.

Knowing that the PO segment is 40 cm, calculate the area and perimeter of the triangle. Track 139 A circle with center O has a radius of 10 cm. Draw from the point P outside the circle tangent PA and joining the point O with the tangent point A and point P, we get a triangle APO. Knowing that the PA segment is 38.73 cm, calculate the area and perimeter of the triangle. Track 140 The chord AB of a circle is 90 cm and the distance from the center is 40 cm. Calculate the measure of the length of the circumference and area of a circle. Track 141 The chord AB of a circle is 90 cm and the distance from the center is 40 cm. Calculates the length measurement of the perimeter of the triangle OBA and the area of the triangle. Track 142 A rectangle has the base and the height, respectively 40 cm long and 30 cm; determines the area and perimeter of each of the four triangles in which it remains divided by its diagonals.

Track 143 An equilateral triangle has the area of 500 cm ï¿½ and is equivalent to 2/3 of an isosceles triangle. Calculates the measure of the height of the isosceles triangle knowing that the height of the equilateral triangle measuring 100 cm and the base of the isosceles triangle is three times that of the equilateral triangle. Track 144 A triangle has the ' area that is 2/5 of the area of a rectangle having the base of 60 cm and a height of 20 cm. Calculate the measure of the height of the triangle, knowing that its base measures 30 cm Track 145 A rectangle, which has a base of 10 meters and the height that is the sextuple of the base, is equivalent to a right triangle with one cathetus of 30 meters. Calculate the perimeter of the triangle. Track 146 A triangle has sides, respectively, 100 cm long, 60 cm, and 80 cm. Calculate the perimeter of a triangle similar to it having the longest side 200 cm long.

Track 147 The dimensions of a rectangle are a 2/3 of the other and their difference measure 3 cm. Compute the measure of the side of an equilateral triangle having the perimeter congruent to that of the rectangle. Track 148 The side of a square is triple the side of an equilateral triangle having a perimeter of 90 cm. Calculate the perimeter of the square. Track 149 The perimeter of a parallelogram is 400 cm and one side is 3/5 of its row. Calculate the perimeter and area of an equilateral triangle with a side length congruent to the longer side of the parallelogram. Track 150 A triangle has a base of 30 cm and a height of 20 cm. Find the perimeter of a square equivalent to 4/3 of the triangle. Track 151 In a right triangle the hypotenuse is 5 dm long cathetus and a 4 dm. Find the area of the square whose perimeter is 4/3 of the perimeter of the triangle.

Track 152 Find the perimeter of the square equivalent to a right-angled triangle whose hypotenuse is 76.22 cm long cathetus and a 2.5 dm. Track 153 A triangle has an area of 1,500 mm ï¿½ and 50 mm long base. Calculate the area of a triangle similar to the one given knowing that its height is 30 mm. Track 154 A rectangle is equivalent to a square whose perimeter is 40 cm. Given that the height of the rectangle is 1/4 of the base, calculates the area of the rectangle rhombus isoperimetric congruent with the height of 3/5 of the side of the square and the perimeter of an equilateral triangle is equal to the diamond. Track 155 In an isosceles triangle the perimeter is 170 cm and the base measures 70 cm. Calculates the area and perimeter of a square equivalent to 2/25 of the triangle.

Track 156 Calculate the measure of hypotenuse of each of the four triangles in which a diamond is divided by the diagonals knowing that the sum of the diagonal measuring 14 m that is 3/4 of the other. Track 157 An isosceles right triangle has the short sides 20 cm long. Calculates the measure of the perimeter of a rectangle equivalent to the triangle with sides one 8/25 of the other. Track 158 An isosceles triangle is equivalent to a rectangle whose perimeter is 100 cm. Compute the measure of the base of the triangle knowing that the height of the rectangle is 1/3 of that of the triangle while their difference is 10 cm. Track 159 In the sum of the diagonals of a rhombus measuring 150 cm and a is the 1/2 of the other.

Calculate : the measure of the side of a square equivalent to the roar; the perimeter of a rectangle equivalent to one fifth of the diamond, knowing that its size is a 4/5 of the other; the measurement of the three altitudes of a scalene triangle equivalent to 6/25 of the rhombus and whose sides measure respectively 30 cm, 40 cm and 50 cm Track 160 In the triangle ABC one side measuring 15 cm, the second is three times the first and the third is 4 /5 of a second. Calculate the side of an equilateral triangle whose perimeter four times that of ABC. Track 161 An equilateral triangle has a perimeter of 30 cm. An isosceles triangle, having the same perimeter of equilateral triangle has the oblique sides each of the 4/5 of the side of the given triangle; Calculate the measure of the base. Track 162 The perimeter of the triangle ABC is 160 cm, the side AB BC exceeds 30 cm and the side AC is 5/4 BC.

Calculate the perimeter of another triangle with each side respectively congruent to 7/5, triple and seven tenths of the sides AB, BC and AC of the triangle ABC. Track 163 In triangle ABC, the side AB is 50 cm, the side BC is 3/5 of the side AB and AC side is 3/2 of the side BC. Calculate the measure of the side of an equilateral triangle whose perimeter equal to 3/5 of that of the triangle ABC. Track 164 A rectangle is equivalent to a triangle having a base of 48 cm and a height of 28 cm. Knowing that a size of the rectangle is 14 cm, calculate the length of the diagonal. Track 165 A rectangle is equivalent to a triangle having a base of 48 cm and a height of 28 cm. Knowing that a size of the rectangle is 48 cm, calculate the length of the diagonal and the perimeter of the rectangle. Track 166 The measures of the sides of a triangle are respectively 300 cm, 150 cm and 200 cm.

Calculates the extent of the sides of a triangle like knowing that the ratio of similarity is 1/10. Track 167 In a scalene triangle, having the perimeter of 220 cm, the sum of two sides measuring 140 cm and one is the 2/5 of the other. Calculate the perimeter of an isosceles triangle having its base congruent to the greater side of the given triangle and the oblique side twice the smaller side Track 168 A trapezoid is formed by a square and a triangle. Given that the area of the triangle is 6 cm ï¿½ and that the difference between the bases of the trapezoid measures 4 cm, calculate the area of the trapezoid. Track 169 A pentagon is formed by a square and a triangle external to it and whose base is a side of the square. Calculate the area of the pentagon, knowing that the square is 100 square meters and the height of the triangle measures 12 m. Track 170 A rectangle has a perimeter of 160 cm and the base 30 cm long.

Calculates the height of a triangle equivalent to the rectangle and having the base 50 cm long. Track 171 The perimeter of a regular pentagon is 50 cm, what is the perimeter of an equilateral triangle with a side length congruent to that of the pentagon ? Track 172 One side of an equilateral triangle is 20 cm long. What should be the measure of the side of a regular hexagon because it has the same perimeter? Track 173 A parallelogram and a triangle have bases long, 50 cm and 40 cm respectively. If the two figures have the same area and the height of the parallelogram measure 30 cm, calculates that of the triangle. Track 174 An equilateral triangle and an isosceles have the same perimeter. Each of the oblique sides of the isosceles triangle is for 5/6 of the base and the side of the equilateral triangle measure 32 cm. Calculate the length of each side, the area of the isosceles triangle and the area of the equilateral triangle.

Track 175 The sum of the base and the height of a triangle is 60 cm and a is the 1/2 of the other. Calculates the measure of the perimeter of the square that has the same area of the triangle. Track 176 The measures of the legs of a right triangle are 400 cm and 30 dm and the perimeter measuring 12 m. Determines the area and the measure of hypotenuse.

Calculate: 1 ) measures the height and perimeter of the rectangle is equivalent to triangle and having the base 25 dm; 2) The perimeter of a square equivalent to 3/2 of the triangle; < br> 3 ) the apothem of a pentagon equivalent to the triangle; 4 ) the perimeter of the hexagon congruent to 5/3 of the triangle; 5 ) the side of a heptagon having the same perimeter of the triangle; < br> 6 ) the apothem of an octagon equivalent to 7/8 of the triangle; 7 ) the perimeter of a ennagono equivalent to the triangle; 8 ) the area of a decagon having the congruent side hypotenuse of the triangle; 9 ) the apothem of a endecagono having the side equal to the minor cathetus of the triangle; 10 ) the perimeter of a dodecagon having the side equal to the height relative to the hypotenuse of the triangle. Track 177 The perimeter of a rectangle measuring 68 cm and a size is the 5/12 of the other.

Calculate the area of an equilateral triangle with a side length congruent to the diagonal of the rectangle. Track 178 A rectangle and a square are isoperimetric. The sum of the lengths of the diagonal and the base of the rectangle measuring 98 cm and a is the 25/24 of the other. Calculate the area of an equilateral triangle with a side length congruent to the diagonal of the square. Track 179 Calculates the measure of the height of a triangle having a base of 10 cm, knowing that it is equivalent to another triangle, the sum of the base and the height measures 35 cm and their difference is 5 cm. Track 180 Two similar triangles have bases long respectively 20 cm and 40 cm; knowing that in the first triangle, the relative height to the base measure 15 cm, calculates the corresponding height and the area of the second triangle. Track 181 A rhombus with a diagonal of 96 cm is equivalent to twice of an isosceles triangle whose perimeter is 128 cm and whose base measures 28 cm. Determines the perimeter of the diamond.

Track 182 In an isosceles triangle the oblique side measuring 25 cm and the perimeter is 64 cm. Calculates the perimeter of the square that has the area equivalent to 50/21 of that of the triangle. Track 183 In a circle with center O and radius 30 cm long considered the chord AB of 36 cm. Calculate the perimeter and area of the triangle ABO. Track 184 Calculates the length of a chord of a circumference having the radius of 30 cm, knowing that is 24 cm from the center. Calculates the length of the circumference and the area of the circle. Calculate the perimeter and area of the triangle ABO. Track 185 Calculates the length of a chord of a circle having the diameter of 60 cm, knowing that is 24 cm from the center. Calculates the length of the circumference and the area of the circle. Calculate the perimeter and area of the triangle ABO. Track 186 An isosceles triangle having its vertices the ends of a rope and the center of a circle, has the area of 240 cm ï¿½.

Knowing that the distance from the center of the rope is 24 cm, calculate the length of the radius of the circle. Track 187 A right triangle is equivalent to 3/4 of a parallelogram having base and height 80 cm long and 40 cm respectively. Calculates the size of the catheti knowing that one is 3/4 of the other. Track 188 The diameter of a circle is congruent to the side of an equilateral triangle having the ' area of 100 cm ï¿½. Calculates the length of the circumference. Track 189 A circle is congruent to an equilateral triangle having a perimeter of 90 cm. Calculates the length of the circumference. Track 190 A right triangle has catheti respectively 3 cm and 4 cm. Calculate the length of the circle whose radius is congruent to the hypotenuse of the triangle. Track 191 A right triangle has catheti respectively 3 cm and 4 cm. Calculate the length of the circle whose diameter is 3/4 of the hypotenuse of the triangle.

Track 192 A right triangle has catheti respectively 3 cm and 4 cm. Calculates the length of the circumference whose diameter is 3/4 of the larger cathetus. Track 193 A right triangle has catheti respectively 3 cm and 4 cm. Calculate the length of the circle whose radius is 3/4 of the cathetus greater. Track 194 A right triangle has catheti respectively 3 cm and 4 cm. Calculate the length of the circle whose radius is 3/4 of the cathetus minor. Track 195 A right triangle has catheti respectively 3 cm and 4 cm. Calculates the length of the circumference whose diameter is 3/4 of the minor cathetus. Track 196 A right triangle has the area of 6 cm ï¿½ and the ratio between the two cathetuses is 3/4. Calculate the length of the circle whose diameter is less congruent to the cathetus. Track 197 A right triangle has the area of 6 cm ï¿½ and the ratio between the two cathetuses is 3/4.

Calculates the length of the circumference whose radius is congruent to cathetus greater. Latest issues from 2013 Track 198 In the triangle ABC, the point P is a trace segment PQ is perpendicular to the hypotenuse BC. Prove that the triangle PQC is similar to ABC. Knowing that PC 15 cm, 9 cm and PQ AC 24 cm. Find the perimeter of triangle ABC. Track 199 In a system of Cartesian axes, is the triangle with vertices A (3, -5), B (15, -5), C (-5, 5). Track 200 In a system of Cartesian axes, having as its unit of measure cm, is the triangle with vertices A (3, -5), B ( 8, -5), C (-5, 5). Describe its characteristics; calculates the length of the perimeter; calculates the area;

Question: If two sides of a right-angled triangle are 3cm and 4cm long, what is the length of the hypotenuse?
Answer: 5 cm